Question 13 Marks
Write the following rational numbers in decimal form. : $-\frac{11}{13}$
Answer
View full question & answer→$-\frac{11}{13}$
Questions
3 Mark Question
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Question 23 Marks
Write the following rational numbers in decimal form. : $-\frac{103}{5}$
Answer
View full question & answer→$-\frac{103}{5}$
Question 33 Marks
Write the following rational numbers in decimal form. : $\frac{9}{14}$
Answer
View full question & answer→$\frac{9}{14}$
Question 43 Marks
Write the following rational numbers in decimal form. : $\frac{18}{42}$
Answer
View full question & answer→$\frac{18}{42}$
$
\frac{18}{42}=\frac{3 \times 6}{7 \times 6}=\frac{3}{7}
$
$
\frac{18}{42}=\frac{3 \times 6}{7 \times 6}=\frac{3}{7}
$
Question 53 Marks
Write the following rational numbers in decimal form. : $\frac{9}{37}$
Answer
View full question & answer→$\frac{9}{37}$
$
\begin{aligned}
& 3 7 \longdiv { 9 . 2 4 3 } \\
& -\frac{0}{90} \\
& \frac{-74}{160} \\
& \frac{-148}{120} \\
& -\frac{111}{9} \\
& \therefore \quad \frac{9}{37}=\mathbf{0 . 2 4 3} \\
&
\end{aligned}
$
$
\begin{aligned}
& 3 7 \longdiv { 9 . 2 4 3 } \\
& -\frac{0}{90} \\
& \frac{-74}{160} \\
& \frac{-148}{120} \\
& -\frac{111}{9} \\
& \therefore \quad \frac{9}{37}=\mathbf{0 . 2 4 3} \\
&
\end{aligned}
$
Question 63 Marks
Observe the number line and answer the questions.
i. Which number is indicated by point B?
ii. Which point indicates the number $1 \frac{3}{4}$ ?
iii. State whether the statement, ‘the point D denotes the number $\frac{5}{2}$ is true or false.
Answer
View full question & answer→Here, each emit is divided into 4 equal parts.
i. Point B is marked on the 10th equal part on the left side of O.
∴ The number indicated by point B is $\frac{-10}{4}$.
ii.
$
\begin{aligned}
1 \frac{3}{4} & =\frac{1 \times 4+3}{4} \\
& =\frac{4+3}{4} \\
& =\frac{7}{4}
\end{aligned}
$
Point $\mathrm{C}$ is marked on the 7 th equal part on the right side of $O$.
$\therefore$ The number $1 \frac{3}{4}$ is indicated by point $C$.
iii. True
Point $D$ is marked on the 10th equal part on the right side of $O$.
$\therefore$ D denotes the number $\frac{10}{4}=\frac{5 \times 2}{2 \times 2}=\frac{5}{2}$
i. Point B is marked on the 10th equal part on the left side of O.
∴ The number indicated by point B is $\frac{-10}{4}$.
ii.
$
\begin{aligned}
1 \frac{3}{4} & =\frac{1 \times 4+3}{4} \\
& =\frac{4+3}{4} \\
& =\frac{7}{4}
\end{aligned}
$
Point $\mathrm{C}$ is marked on the 7 th equal part on the right side of $O$.
$\therefore$ The number $1 \frac{3}{4}$ is indicated by point $C$.
iii. True
Point $D$ is marked on the 10th equal part on the right side of $O$.
$\therefore$ D denotes the number $\frac{10}{4}=\frac{5 \times 2}{2 \times 2}=\frac{5}{2}$
Question 73 Marks
Show the following numbers on a number line. Draw a separate number line for each example.
$\frac{13}{10}, \frac{-17}{10}$
Answer
View full question & answer→$\frac{13}{10}, \frac{-17}{10}$
Here, the denominator of each fraction is 10.
∴ Each unit will be divided into 10 equal parts.
Question 83 Marks
Show the following numbers on a number line. Draw a separate number line for each example.
$\frac{-5}{8}, \frac{11}{8}$
Answer
View full question & answer→$\frac{-5}{8}, \frac{11}{8}$
Question 93 Marks
Show the following numbers on a number line. Draw a separate number line for each example.
$\frac{7}{5}, \frac{-2}{5}, \frac{-4}{5}$
Answer
View full question & answer→$\frac{7}{5}, \frac{-2}{5}, \frac{-4}{5}$
Here, the denominator of each fraction is 5.
∴ Each unit will be divided into 5 equal parts.
Question 103 Marks
Show the following numbers on a number line. Draw a separate number line for each example.
$\frac{3}{2}, \frac{5}{2},-\frac{3}{2}$
Answer
View full question & answer→$\frac{3}{2}, \frac{5}{2},-\frac{3}{2}$
Here, the denominator of each fraction is 2.
∴ Each unit will be divided into 2 equal parts.